Open Charm Production at RHIC

Recent experimental measurements on open charm production in proton-proton, proton (deuteron)-nucleus and nucleus-nucleus collisions at RHIC are reviewed. A comparison with theoretical predictions is made. Some unsettled issues in open charm production call for precise measurements on directly reconstructed open charm hadrons.Comment: Invited plenary talk at Quark Matter 2005 conference in Budapest, Hungary. 10 pages, 6 figure

Heavy Flavor Results at RHIC - A Comparative Overview

I review the latest heavy flavor measurements at RHIC experiments. Measurements from RHIC together with preliminary results from LHC offer us an opportunity to systematically study the sQGP medium properties. In the end, I will outlook a prospective future on precision heavy flavor measurements with detector upgrades at RHIC.Comment: 8 pages, 5 figures, SQM 2011 Proceeding

Suita Conjecture for a Complex Torus

The author proves that the generalized Suita conjecture holds for any complex torus, which means that $\alpha\pi K \geq c^2(\alpha\in\mathbb R)$, $c$ being the modified logarithmic capacity and $K$ being the Bergman kernel on the diagonal. The open problems for general compact Riemann surfaces with genus $\geq2$ is also elaborated. The proof relies in part on elliptic function theories.Comment: 6 pages, 3 figure

Evans-Selberg potential on planar domains

We provide explicit formulas of Evans kernels, Evans-Selberg potentials and fundamental metrics on potential-theoretically parabolic planar domains